MATHEMATICS MIDDLE SCHOOL

The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28.A table with 6 columns and 2 rows. The first column, Original System has 2 x minus 2 y equals 6 and 4 x plus 4 y equals 28. The second column, Equivalent System, has 4 x minus 4 y equals 12 and 4 x plus 4 y equals 28. The third column, Sum of equations in Equivalent System, has 8 x equals 40. The fourth column, Solution to System, is blank. The fifth column, New System Using Sum, has 4 x plus 4 y equals 28 and 8 x equals 40. The sixth column, Solution to New System is blank.

Which solution can be used to fill in both blanks in the table?

(2, 5)

(5, 2)
(5, −8)
(−8, 5)

Answers

Answer 1

Answer:

Answer:

$(5,2)$

Step-by-step explanation:

$2x-2y=6\n4x+4y=28$

Column 1 :

$2x-2y=6..........(1)\n4x+4y=28........(2)$

Column 2 :

Eqn(1) $*\ 2$

$4x-4y=12\n4x+4y=28$

Column 3 :

Add the equations.

$(4x+4x)-4y+4y=12+28\n8x=40$

Fourth column :

$8x=40\nx=(40)/(8)=5$

Fift column :

$4x+4y=28\n8x=40$

Sixth column :

Substitute $x=5$ .

$4* 5+4y=28\n4y=28-20\n4y=8\ny=2$

Hence solution is $(5,2)$ .

Answer 2

Answer:

I'm terrible at explaining so here's a screenshot

- Ripper

Step-by-step explanation:

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Which of the equations shown have infinitely many solutions?Select all that apply.
A 3x - 1 = 3x + 1
® 2x - 1 = 1 - 2x
© 3x - 2 =2x-3
D 3(x - 1) = 3x - 3

Answers

The answer is D because if you distribute, you get: 3x-3=3x-3
And anything you plug in for X has the same solution on both sides of the equation

Answer:

Step-by-step explanation:

In order to have infinitely many solutions, the lines must be the same.

If we solve D by using the distributive property, we end up withe 3x-3=3x-3.

3x-3 and 3x-3 are the same lines and intersect infinitely many times, therefore the correct answer is D.

A bag contains 4 pennies, 6 nickels, and 10 dimes. What is the probability of randomly selecting a nickel or dime from the bag?

Answers

16 out of 20 (simplified is 4 out of 5) or 80%

There are 20 coins total and 16 of them are nickels AND dimes so...
16/20=> 4/5
80%
0.8

Write an expression equivalent to 5(3m + n). Use the Distributive Property

Answers

Answer:

im pretty sure...

15m+5n

Step-by-step explanation:

you multiply 5&3 and since there is no number by the variable n just put 5 by it...

15m+5n is the right answer bb :)

Skylar makes turkey sandwiches for a family reunion he purchases 5 lbs. 4 oz. of sliced turkey for $26.88 what is the unit cost per ounce for turkey skylar purchased

Answers

Answer:

$0.32

Step-by-step explanation:

The first step is to convert pounds to ounces.

1 lbs = 16 oz

so:

5 lbs = 5(16) ounces

5 lbs = 80 oz

Skylar bought 5 pounds and 4 ounces, and we already found that 5 pounds is 80 ounces, so she bought a total of

80oz + 4oz = 84 oz.

The price for these 84 ounces was $ 26.88, to find the unit cost per ounce of turkey, we divided the total cost by the amount of ounces:

$26.88 ÷ 84 = $0.32

the cost per ounce is $0.32

What is 2/5 percent equal to

Answers

2/5 percent is equal to 0.004 .

2/5 is equal to 0.4 .

2/5 percent equals 40,you can divide 2 by 5 and get .4 and then move the decimalover 2 places and get 40%

What are the factors for
A 50
B 45
C 24
D 60

Answers

The factors of 50: 1, 2, 5, 10, 25, 50

The factors of 45: 1, 3, 5, 9, 15, 45

The factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

I hope that helps :)

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